Finite Group DatabasebetaFinite Group Databasebeta| order | 13572 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×C9⋊#1181 |
| unambiguous semidirect product | C9⋊(C13×#1181) |
| Fitting, Hall | C9×C13×C29 ⋊ C4 |
| derived, Hall | C9×C29 ⋊ C4×C13 |
| Hall | C13×C29 ⋊ Dic9 |
| Hall | C9×C13 ⋊ #1181 |
| Sylow | C29 ⋊ C13×Dic9 |
| Sylow | C9 ⋊ C13×#1181 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3393 |
975 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13572, 31);